10802720 has 48 divisors (see below), whose sum is σ = 25800768. Its totient is φ = 4273920.

The previous prime is 10802719. The next prime is 10802741. The reversal of 10802720 is 2720801.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10802692 and 10802701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16805 + ... + 17435.

It is an arithmetic number, because the mean of its divisors is an integer number (537516).

Almost surely, 2^10802720 is an apocalyptic number.

10802720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12900384).

10802720 is an abundant number, since it is smaller than the sum of its proper divisors (14998048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10802720 is a wasteful number, since it uses less digits than its factorization.

10802720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 10802720 is about 3286.7491537992. The cubic root of 10802720 is about 221.0604449639.

The spelling of 10802720 in words is "ten million, eight hundred two thousand, seven hundred twenty".